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Finding the Fourth Proportional to 38,413.14, 57,619.70 and 9,229.14

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Solution

The fourth proportional to 38,413.14, 57,619.70 and 9,229.14 is: 13,843.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,413.14 : 57,619.70 = 9,229.14 : x
  2. Step 2: Convert to fraction form
    38,413.14/57,619.70 = 9,229.14/x
  3. Step 3: Cross multiply
    38,413.14x = 57,619.70 × 9,229.14
  4. Step 4: Simplify right side
    38,413.14x = 531,780,278.06
  5. Step 5: Solve for x
    x = 531,780,278.06/38,413.14
  6. Step 6: Final answer
    x = 13,843.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.